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Finding the Fourth Proportional to 38,153.28, 57,229.92 and 13,512

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Solution

The fourth proportional to 38,153.28, 57,229.92 and 13,512 is: 20,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,153.28 : 57,229.92 = 13,512 : x
  2. Step 2: Convert to fraction form
    38,153.28/57,229.92 = 13,512/x
  3. Step 3: Cross multiply
    38,153.28x = 57,229.92 × 13,512
  4. Step 4: Simplify right side
    38,153.28x = 773,290,679.04
  5. Step 5: Solve for x
    x = 773,290,679.04/38,153.28
  6. Step 6: Final answer
    x = 20,268

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.